{"torsion_structure": [2], "ainvs": "0,0;0,0;0,0;-123,0;-598,0", "cm": 0, "torsion_gens": ["[[13,0],[0,0],[1,0]]"], "number": 1, "rank": 1, "field_label": "2.0.3.1", "galois_images": ["2B", "3B[2]"], "conductor_norm": 57600, "abs_disc": 3, "iso_nlabel": 3, "rank_bounds": [1, 1], "conductor_ideal": "(240)", "base_change": ["720.b3", "720.g2"], "local_data": [{"p": "(-2*w+1)", "cp": 2, "kod": -1, "red": 0, "normp": 3, "rootno": -1, "ord_cond": 2, "ord_disc": 6, "ord_den_j": 0}, {"p": "(2)", "cp": 4, "kod": -14, "red": 0, "normp": 4, "rootno": 1, "ord_cond": 4, "ord_disc": 18, "ord_den_j": 6}, {"p": "(5)", "cp": 1, "kod": 5, "red": 1, "normp": 25, "rootno": -1, "ord_cond": 1, "ord_disc": 1, "ord_den_j": 1}], "analytic_rank": 1, "minD": "(35389440)", "label": "2.0.3.1-57600.1-d1", "jinv": "-1860867/320,0", "conductor_label": "57600.1", "class_deg": 6, "reg": {"__RealLiteral__": 0, "data": "0.949584851171209", "prec": 57}, "class_size": 4, "class_label": "2.0.3.1-57600.1-d", "iso_label": "d", "degree": 2, "non_min_p": [], "q_curve": true, "short_label": "57600.1-d1", "short_class_label": "57600.1-d", "isogeny_matrix": [[1, 3, 6, 2], [3, 1, 2, 6], [6, 2, 1, 3], [2, 6, 3, 1]], "torsion_order": 2, "non-surjective_primes": [2, 3], "equation": "{y}^2={x}^{3}-123{x}-598", "gens": ["[[-5,0],[6,-12],[1,0]]"], "ngens": 1, "signature": [0, 1], "trace_hash": 934958837806856407, "heights": [{"__RealLiteral__": 0, "data": "0.949584851171209", "prec": 57}], "isodeg": [1, 2, 3, 6], "omega": {"__RealLiteral__": 0, "data": "0.704990522374093", "prec": 57}, "potential_good_reduction": false, "tamagawa_product": 8, "bad_primes": ["(-2*w+1)", "(2)", "(5)"], "Lvalue": {"__RealLiteral__": 0, "data": "3.09204934331163", "prec": 54}, "sha": 1, "torsion_primes": [2], "n_bad_primes": 3, "reducible_primes": [2, 3], "semistable": false, "disc": "(-35389440)", "normdisc": 1252412463513600, "conductor_norm_factors": [2, 3, 5], "nonmax_primes": [2, 3], "nonmax_rad": 6, "root_analytic_conductor": 2.3977549802955656, "cm_type": 0}